Preprints

La vita e' una lotta continua e discontinua [Il comandante]
Sei bella, conturbante e, se mi consente, adiacente [Signori si nasce]

These works are concerned with piecewise smooth differential systems. Most of the works are concerned with modeling for sliding motion of Filippov type as well as with numerical issues connected to the same.

Preprints: Piecewise Smooth Systems

Sliding motion in Filippov differential systems: Theoretical results and a computational approach [With L. Lopez. In SIAM J. Numerical Analysis 47-3 (2009), pp. 2023-2051.]
Fundamental matrix solutions of piecewise smooth differential systems [With L. Lopez. In Mathematics and Computers in Simulations 81-5 (2011), pp. 932--953.]
Sliding motion on discontinuity surfaces of high co-dimension. A general construction for selecting a Filippov vector field [With L. Lopez. In Numerische Mathematik 117-4 (2011), pp. 779-811.]
Numerical Solution of Discontinuous Differential Systems: Approaching the Discontinuity Surface from One Side [With L. Lopez. In Appl. Numerical Mathematics 67 (2013), pp. 98--110.]
A survey of Numerical Methods for IVPs of ODEs with Discontinuous right-hand side [With L. Lopez. In Journal of Computational and Applied Mathematics 236 (2012), pp. 3967--3991.]
A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis [With C. Elia, L. Lopez. In J. Differential Equations 254 (2013), pp. 1800-1832.]
Regularizing Piecewise Smooth Differential Systems: Co-dimension 2 Discontinuity Surface [With N. Guglielmi. In J. Dynamics and Differential Equations 25-1 (2013), pp. 71-94.]
A comparison of Filippov sliding vector fields in co-dimension 2 [With F. Difonzo. In Journal of Computational and Applied Mathematics, 262 (2014), pp. 161-179, and (corrige) 272 (2014), pp. 273-273.]
Sharp sufficient attractivity conditions for sliding on a codimension 2 discontinuity surface [With C. Elia, L. Lopez. In Mathematics and Computers in Simulation, 110 (2015), pp. 3-14. http://dx.doi.org/10.1016/j.matcom.2013.12.005]
Periodic orbits for planar piecewise smooth dynamical systems with a line of discontinuity [With C. Elia. In Journal of Dynamics and Differential Equations, Volume 26, Issue 4 (2014), pp. 1049-1078.]
Sliding motion on the intersection of two manifolds: Spirally attractive case [Communications in Nonlinear Science and Numerical Simulation, 26 (2015), pp. 65-74.]
The Moments sliding vector field on the intersection of two manifolds [With F. Difonzo. In J. Dynam. Diff. Equations, Vol. 29, Issue 1 (2017). pp. 169-201.]
One-Sided Event Location Techniques in the Numerical Solution of Differential Systems [With L. Lopez. In BIT Numerical Mathematics, 55(4) (2015), 987-1003.]
Minimum variation solutions for sliding vector fields On the Intersection of Two Surfaces in R^3 [With F. Difonzo. In Journal of Computational and Applied Mathematics, 292 (2016), pp. 732-745. DOI information: 10.1016/j.cam.2015.02.026]
Uniqueness of Filippov sliding vector field on the intersection of two surfaces in R^3 and implications for stability of periodic orbits [With C. Elia, L. Lopez. In J. Nonlinear Science, 25 (2015). JNLS-D-14-00195.1 DOI: 10.1007/s00332-015-9265-6]
On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case [With F. Difonzo. (March 2, 2016). To appear in JDDE. DOI: 10.1007/s10884-016-9527-5.]
Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? [With C. Elia. In DCDS-S, Volume 9, Issue 4 (2016), pp. 1039-1068.]
Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity. [With C. Elia and D. Pi. (December 30, 2016). To appear in DCDS-B (2017).]
Periodic orbits of planar discontinuous system under discretization. [With T. Eirola and C. Elia. In DCDS-B (2018), 23(7): 2743-2762]
Smooth to discontinuous systems: A geometric and numerical method for slow-fast dynamics. [With C. Elia. In DCDS-B (2018), 23(7): 2935-2950.]
Sliding integration with no projection. [In Applied Numerical Mathematics (2020), 155: 3-15.]
On Filippov solution of discontinuous DAEs of index 1. [With C. Elia and L.Lopez. In Commun Nonlinear Sci Numer Simulat 95 (2021).]
Master stability function for piecewise smooth Filippov networks. [With C. Elia. In Automatica (2023).]
Networks of Piecewise smooth Filippov systems and stability of synchronous periodic orbits. [With C. Elia and L.Lopez. In DCDS-B (2024).]